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Collocation methods for nonlinear convolution Volterra integral equations with multiple proportional delays. (English) Zbl 1280.65148
Summary: We apply the collocation methods to a class of nonlinear convolution Volterra integral equations with multiple proportional delays. We present the existence, uniqueness and regularity properties of the analytic solution for this type of equations, and then analyze the convergence and superconvergence properties of the collocation solution. The numerical results verify our theoretical analysis.

MSC:
65R20 Numerical methods for integral equations
45D05 Volterra integral equations
45G10 Other nonlinear integral equations
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